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4534125200 = 2452112234621
BaseRepresentation
bin1000011100100000…
…10100001010010000
3102200222202102110222
410032100110022100
533241214001300
62025530012212
7220234266623
oct41620241220
912628672428
104534125200
111a17439410
12a66577068
13573494327
1431026ddba
151b80ce785
hex10e414290

4534125200 has 120 divisors (see below), whose sum is σ = 11939402496. Its totient is φ = 1641024000.

The previous prime is 4534125187. The next prime is 4534125209. The reversal of 4534125200 is 25214354.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4534125200.

It is not an unprimeable number, because it can be changed into a prime (4534125209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978890 + ... + 983510.

Almost surely, 24534125200 is an apocalyptic number.

4534125200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4534125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969701248).

4534125200 is an abundant number, since it is smaller than the sum of its proper divisors (7405277296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4534125200 is a wasteful number, since it uses less digits than its factorization.

4534125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4534125200 is about 67335.9131518984. The cubic root of 4534125200 is about 1655.1264130674.

Adding to 4534125200 its reverse (25214354), we get a palindrome (4559339554).

The spelling of 4534125200 in words is "four billion, five hundred thirty-four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 223 275 400 440 446 550 880 892 1100 1115 1784 2200 2230 2453 3568 4400 4460 4621 4906 5575 8920 9242 9812 11150 12265 17840 18484 19624 22300 23105 24530 36968 39248 44600 46210 49060 50831 61325 73936 89200 92420 98120 101662 115525 122650 184840 196240 203324 231050 245300 254155 369680 406648 462100 490600 508310 813296 924200 981200 1016620 1030483 1270775 1848400 2033240 2060966 2541550 4066480 4121932 5083100 5152415 8243864 10166200 10304830 11335313 16487728 20332400 20609660 22670626 25762075 41219320 45341252 51524150 56676565 82438640 90682504 103048300 113353130 181365008 206096600 226706260 283382825 412193200 453412520 566765650 906825040 1133531300 2267062600 4534125200